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Finding the Third Proportional to 272,572 and 418,382

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Solution

The third proportional to 272,572 and 418,382 is: 642,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,572 : 418,382 = 418,382 : x
  2. Step 2: Convert to fraction form
    272,572/418,382 = 418,382/x
  3. Step 3: Cross multiply
    272,572x = 418,382 × 418,382
  4. Step 4: Simplify right side
    272,572x = 175,043,497,924
  5. Step 5: Solve for x
    x = 175,043,497,924/272,572
  6. Step 6: Final answer
    x = 642,191.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.